Arid buys 2750 eggs For $100 and loses 350 of those .If he sells the remaining eggs at 70percents/dozen,what percent of his original investment is his profit?
I assume that "70percents/dozen" means "70 cents per dozen." If so, he sold 2400 = 200 dozen at that price. So, his % profit is
((200*.70)-100)/100 = 40%
To find out what percent of his original investment is his profit, we need to determine his profit first.
First, let's calculate how many eggs Arid has remaining after losing 350.
Remaining eggs = Total eggs bought - Eggs lost
Remaining eggs = 2750 - 350
Remaining eggs = 2400
Now let's calculate how much money Arid earns by selling the remaining eggs.
Money earned from selling = (Remaining eggs / 12) * Price per dozen
Money earned from selling = (2400 / 12) * 70% of $1
Money earned from selling = 200 * 70% of $1
Money earned from selling = 200 * 0.7
Money earned from selling = $140
Now let's calculate the profit by subtracting the money spent from the money earned.
Profit = Money earned from selling - Money spent
Profit = $140 - $100
Profit = $40
To calculate the percentage of profit in relation to the original investment, use the following formula:
Percent profit = (Profit / Original investment) * 100
Percent profit = ($40 / $100) * 100
Percent profit = 0.4 * 100
Percent profit = 40%
Therefore, Arid's profit represents 40% of his original investment.
To find out what percentage of his original investment is his profit, we need to follow a few steps:
Step 1: Calculate the number of eggs Arid has left after losing 350 eggs:
Number of eggs left = Total eggs bought - Eggs lost
Number of eggs left = 2750 eggs - 350 eggs = 2400 eggs
Step 2: Calculate the number of dozens Arid has left:
Number of dozens = Number of eggs left / 12
Number of dozens = 2400 eggs / 12 = 200 dozens
Step 3: Calculate the selling price of the eggs:
Selling price of 1 dozen = 70% of the original price of 1 dozen
Selling price of 1 dozen = 70/100 * original price of 1 dozen
Step 4: Calculate the original price of 1 dozen:
Original price of 1 dozen = Total cost / Total dozens
Original price of 1 dozen = $100 / (2750 eggs / 12) = $100 / 229.17 dozens
Step 5: Calculate the selling price of the remaining eggs:
Selling price of the remaining eggs = Selling price of 1 dozen * Number of dozens
Selling price of the remaining eggs = (70/100 * Original price of 1 dozen) * Number of dozens
Step 6: Calculate Arid's profit:
Profit = Selling price of the remaining eggs - Total cost
Profit = Selling price of the remaining eggs - $100
Step 7: Calculate the percentage of his profit relative to his original investment:
Percentage profit = (Profit / Total cost) * 100
Let's calculate the answer using the steps above:
Step 3 (continued): Selling price of 1 dozen = 70/100 * (Original price of 1 dozen)
Selling price of 1 dozen = 0.7 * ($100 / 229.17) = $0.3062
Step 5 (continued): Selling price of the remaining eggs = (Selling price of 1 dozen) * Number of dozens
Selling price of the remaining eggs = $0.3062 * 200 = $61.24
Step 6 (continued): Profit = Selling price of the remaining eggs - Total cost
Profit = $61.24 - $100 = -$38.76
Step 7: Percentage profit = (Profit / Total cost) * 100
Percentage profit = (-$38.76 / $100) * 100 = -38.76%
Therefore, Arid has a negative profit of 38.76% of his original investment.